113040288 has 72 divisors (see below), whose sum is σ = 322604100. Its totient is φ = 37545984.

The previous prime is 113040241. The next prime is 113040349. The reversal of 113040288 is 882040311.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 6290064 = 10332^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×113040288³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111528 + ... + 112536.

Almost surely, 2^113040288 is an apocalyptic number.

113040288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161302050).

113040288 is an abundant number, since it is smaller than the sum of its proper divisors (209563812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113040288 is a wasteful number, since it uses less digits than its factorization.

113040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113040288 is about 10632.0406319765. The cubic root of 113040288 is about 483.5162618979.

Adding to 113040288 its reverse (882040311), we get a palindrome (995080599).

The spelling of 113040288 in words is "one hundred thirteen million, forty thousand, two hundred eighty-eight".